Finding the Third Proportional to 190,783 and 414,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   190,783 : 414,369.50 = 414,369.50 : x
2. Step 2: Convert to fraction form
   190,783/414,369.50 = 414,369.50/x
3. Step 3: Cross multiply
   190,783x = 414,369.50 × 414,369.50
4. Step 4: Simplify right side
   190,783x = 171,702,082,530.25
5. Step 5: Solve for x
   x = 171,702,082,530.25/190,783
6. Step 6: Final answer
   x = 899,986.28